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10088430 = 23511191609
BaseRepresentation
bin100110011110…
…111111101110
3200222112201120
4212132333232
510040312210
61000121410
7151515222
oct46367756
920875646
1010088430
115770650
123466266
132122bb1
1414a8782
15d44270
hex99efee

10088430 has 64 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 2315520.

The previous prime is 10088413. The next prime is 10088437. The reversal of 10088430 is 3488001.

It is a self number, because there is not a number n which added to its sum of digits gives 10088430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5466 + ... + 7074.

It is an arithmetic number, because the mean of its divisors is an integer number (434700).

Almost surely, 210088430 is an apocalyptic number.

10088430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10088430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

10088430 is an abundant number, since it is smaller than the sum of its proper divisors (17732370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10088430 is a wasteful number, since it uses less digits than its factorization.

10088430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10088430 is about 3176.2288960338. The cubic root of 10088430 is about 216.0766617458.

The spelling of 10088430 in words is "ten million, eighty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 1609 2090 3135 3218 4827 6270 8045 9654 16090 17699 24135 30571 35398 48270 53097 61142 88495 91713 106194 152855 176990 183426 265485 305710 336281 458565 530970 672562 917130 1008843 1681405 2017686 3362810 5044215 10088430